5956126800 has 480 divisors, whose sum is σ = 22380567552. Its totient is φ = 1340375040.

The previous prime is 5956126777. The next prime is 5956126801. The reversal of 5956126800 is 86216595.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5956126801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9812097 + ... + 9812703.

Almost surely, 2^5956126800 is an apocalyptic number.

5956126800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5956126800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11190283776).

5956126800 is an abundant number, since it is smaller than the sum of its proper divisors (16424440752).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5956126800 is a wasteful number, since it uses less digits than its factorization.

5956126800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The square root of 5956126800 is about 77175.9470301466. The cubic root of 5956126800 is about 1812.6807036640.

The spelling of 5956126800 in words is "five billion, nine hundred fifty-six million, one hundred twenty-six thousand, eight hundred".